Boundary integral equations for acoustical inverse sound-soft scattering

被引：8

作者：

Ivanyshyn, O. ^{[1
]}

Johansson, B. T. ^{[2
]}

机构：

[1] Univ Gottingen, Inst Numer & Appl Math, Gottingen, Germany

[2] Univ Birmingham, Sch Math, Birmingham B15 2TT, W Midlands, England

来源：

JOURNAL OF INVERSE AND ILL-POSED PROBLEMS | 2008年 / 16卷 / 01期

关键词：

Far field pattern; ill-posed; inverse scattering; Newton method; sound-soft;

D O I：

10.1515/JIIP.2008.005

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The shape of a plane acoustical sound-soft obstacle is detected from knowledge of the far field pattern for one time-harmonic incident field. Two methods based on solving a system of integral equations for the incoming wave and the far field pattern are investigated. Properties of the integral operators required in order to apply regularization, i.e. injectivity and denseness of the range, are proved.

引用

页码：65 / 78

页数：14

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